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Finding the Fourth Proportional to 6,686.30, 10,022.84 and 3,170.13

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Solution

The fourth proportional to 6,686.30, 10,022.84 and 3,170.13 is: 4,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.30 : 10,022.84 = 3,170.13 : x
  2. Step 2: Convert to fraction form
    6,686.30/10,022.84 = 3,170.13/x
  3. Step 3: Cross multiply
    6,686.30x = 10,022.84 × 3,170.13
  4. Step 4: Simplify right side
    6,686.30x = 31,773,689.92
  5. Step 5: Solve for x
    x = 31,773,689.92/6,686.30
  6. Step 6: Final answer
    x = 4,752.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.